{"id":"https://openalex.org/W3185109750","doi":"https://doi.org/10.37236/10146","title":"Laplacian Fractional Revival on Graphs","display_name":"Laplacian Fractional Revival on Graphs","publication_year":2021,"publication_date":"2021-07-16","ids":{"openalex":"https://openalex.org/W3185109750","doi":"https://doi.org/10.37236/10146","mag":"3185109750"},"language":"en","primary_location":{"id":"doi:10.37236/10146","is_oa":true,"landing_page_url":"https://doi.org/10.37236/10146","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v28i3p22/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v28i3p22/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008696931","display_name":"Ada Chan","orcid":"https://orcid.org/0000-0001-9310-034X"},"institutions":[{"id":"https://openalex.org/I192455969","display_name":"York University","ror":"https://ror.org/05fq50484","country_code":"CA","type":"education","lineage":["https://openalex.org/I192455969"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Ada Chan","raw_affiliation_strings":["Department of Mathematics and Statistics York University Toronto, Ontario, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics York University Toronto, Ontario, Canada","institution_ids":["https://openalex.org/I192455969"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031959787","display_name":"Bobae Johnson","orcid":"https://orcid.org/0000-0002-9694-2240"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]},{"id":"https://openalex.org/I2801851002","display_name":"Harvard University Press","ror":"https://ror.org/006v7bf86","country_code":"US","type":"other","lineage":["https://openalex.org/I136199984","https://openalex.org/I2801851002"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bobae Johnson","raw_affiliation_strings":["Departments of Mathematics and Physics Harvard University Cambridge, Massachusetts, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departments of Mathematics and Physics Harvard University Cambridge, Massachusetts, U.S.A","institution_ids":["https://openalex.org/I2801851002","https://openalex.org/I136199984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101733254","display_name":"Mengzhen Liu","orcid":"https://orcid.org/0000-0002-8091-6152"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]},{"id":"https://openalex.org/I4210153325","display_name":"Institute of Mathematical Statistics","ror":"https://ror.org/043f04882","country_code":"US","type":"other","lineage":["https://openalex.org/I4210153325"]}],"countries":["GB","US"],"is_corresponding":false,"raw_author_name":"Mengzhen Liu","raw_affiliation_strings":["Department of Pure Mathematics and Mathematical Statistics University of Cambridge Cambridge, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics and Mathematical Statistics University of Cambridge Cambridge, U.K","institution_ids":["https://openalex.org/I241749","https://openalex.org/I4210153325"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015725360","display_name":"Malena Schmidt","orcid":"https://orcid.org/0000-0002-7871-8499"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Malena Schmidt","raw_affiliation_strings":["Department of Computer Science University of Warwick Conventry, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science University of Warwick Conventry, U.K","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014524337","display_name":"Zhanghan Yin","orcid":"https://orcid.org/0000-0001-5166-7938"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Zhanghan Yin","raw_affiliation_strings":["Department of Mathematics University of Toronto Toronto, Ontario, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics University of Toronto Toronto, Ontario, Canada","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086773488","display_name":"Hanmeng Zhan","orcid":"https://orcid.org/0000-0002-9423-2181"},"institutions":[{"id":"https://openalex.org/I192455969","display_name":"York University","ror":"https://ror.org/05fq50484","country_code":"CA","type":"education","lineage":["https://openalex.org/I192455969"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Hanmeng Zhan","raw_affiliation_strings":["Department of Mathematics and Statistics York University Toronto, Ontario, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics York University Toronto, Ontario, Canada","institution_ids":["https://openalex.org/I192455969"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8396,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.7871413,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"28","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10083","display_name":"Graphene research and applications","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7899935245513916},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6610957980155945},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.6582518815994263},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.580962061882019},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.44744637608528137},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41297999024391174},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3525852859020233},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0849967896938324}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7899935245513916},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6610957980155945},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.6582518815994263},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.580962061882019},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.44744637608528137},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41297999024391174},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3525852859020233},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0849967896938324},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/10146","is_oa":true,"landing_page_url":"https://doi.org/10.37236/10146","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v28i3p22/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/10146","is_oa":true,"landing_page_url":"https://doi.org/10.37236/10146","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v28i3p22/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.8100000023841858,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3185109750.pdf","grobid_xml":"https://content.openalex.org/works/W3185109750.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1975528636","https://openalex.org/W1983655155","https://openalex.org/W1994917526","https://openalex.org/W2009233867","https://openalex.org/W2102499003","https://openalex.org/W2757170631","https://openalex.org/W2962922713","https://openalex.org/W2963646472","https://openalex.org/W2982835292","https://openalex.org/W3040109587","https://openalex.org/W3102307146","https://openalex.org/W4235225006","https://openalex.org/W4238591275","https://openalex.org/W6614030999","https://openalex.org/W6638903858","https://openalex.org/W6652891918"],"related_works":["https://openalex.org/W2570009360","https://openalex.org/W3004345458","https://openalex.org/W2883186538","https://openalex.org/W2051180862","https://openalex.org/W1976439244","https://openalex.org/W2402951419","https://openalex.org/W2896947499","https://openalex.org/W2362501828","https://openalex.org/W4244587941","https://openalex.org/W4223455993"],"abstract_inverted_index":{"We":[0,21,50],"develop":[1],"the":[2,8,19,44,53,74,82],"theory":[3],"of":[4,27,59,89,110,118],"fractional":[5,29,70,94,115,123],"revival":[6,71,95],"in":[7],"quantum":[9],"walk":[10],"on":[11,76,85],"a":[12,24,34,86],"graph":[13],"using":[14],"its":[15],"Laplacian":[16,28,69,93,114],"matrix":[17],"as":[18],"Hamiltonian.":[20],"first":[22],"give":[23],"spectral":[25],"characterization":[26,54],"revival,":[30],"which":[31],"leads":[32],"to":[33,38,56],"polynomial":[35],"time":[36,46],"algorithm":[37],"check":[39],"this":[40],"phenomenon":[41],"and":[42,78,81,105],"find":[43],"earliest":[45],"when":[47],"it":[48],"occurs.":[49],"then":[51],"apply":[52],"theorem":[55],"special":[57],"families":[58,109],"graphs.":[60],"In":[61],"particular,":[62],"we":[63,100],"show":[64],"that":[65,91,112],"no":[66],"tree":[67],"admits":[68],"except":[72],"for":[73],"paths":[75],"two":[77],"three":[79],"vertices,":[80],"only":[83],"graphs":[84,111,120],"prime":[87],"number":[88],"vertices":[90],"admit":[92,113],"are":[96],"double":[97],"cones.":[98],"Finally,":[99],"construct,":[101],"through":[102],"Cartesian":[103],"products":[104],"joins,":[106],"several":[107],"infinite":[108],"revival;":[116],"some":[117],"these":[119],"exhibit":[121],"polygamous":[122],"revival.":[124]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
